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A128163 a(n) = numbers n such that 3^n modulo Fibonacci(n) is prime, or A128162(n) is prime. +0
3
5, 7, 9, 11, 13, 14, 15, 26, 30, 53, 66, 82, 155, 189, 225, 261, 625, 870, 1071, 7655, 8191, 8883, 9226, 12246 (list; graph; listen)
OFFSET

1,1

COMMENT

Corresponding primes in A128162(n) are {3,3,31,37,137,347,487,77951,166409,13506083561,...}.

MATHEMATICA

Do[f=PowerMod[3, n, Fibonacci[n]]; If[PrimeQ[f], Print[{n, f}]], {n, 1, 1071}]

CROSSREFS

Cf. A128162 = 3^n modulo Fibonacci(n). Cf. A128161, A057862 = 2^n modulo Fibonacci(n).

Sequence in context: A109624 A002342 A080353 this_sequence A106505 A097985 A099047

Adjacent sequences: A128160 A128161 A128162 this_sequence A128164 A128165 A128166

KEYWORD

hard,more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 19 2007

EXTENSIONS

Corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 10 2007

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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